Proof step e-51cb02553cf4a8ac

parent_provers periodic_product → concludes about Triangle read by rows: T(n,k) = 2^floor(n/2)*binomial(n-1,k-1). JSON

Theorem

Parent-row provers of polytool polytool ?

Operation

Shared parent provers on the node's own rule

{
  "operation": "parent_provers",
  "route": "periodic_product"
}

Premises

None: this step is a direct theorem check.

Claims

• { "claim": "real_rooted", "from_index": 0, "region": { "upper": { "closed": true, "value": "0" } } }

Verification and certificate

• polytool: replayed (the certificate replayed when the step was written)
• Lean: not attempted
• certificate: parent_provers, SHA-256 9da21b28421e2a2c1c0ba30195f71f47de31d0e0aac7e97380d5e5ccbd4bc89a, 643 bytes (383 compressed); download JSON

Cited by

• n-a624e5aba8e1c39e (real_rooted)
• n-a624e5aba8e1c39e (one_signed_coefficients)
• n-a624e5aba8e1c39e (hadamard_kernel)